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Finding the Fourth Proportional to 328,265.84, 492,390.12 and 103,617.20

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Solution

The fourth proportional to 328,265.84, 492,390.12 and 103,617.20 is: 155,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,265.84 : 492,390.12 = 103,617.20 : x
  2. Step 2: Convert to fraction form
    328,265.84/492,390.12 = 103,617.20/x
  3. Step 3: Cross multiply
    328,265.84x = 492,390.12 × 103,617.20
  4. Step 4: Simplify right side
    328,265.84x = 51,020,085,542.06
  5. Step 5: Solve for x
    x = 51,020,085,542.06/328,265.84
  6. Step 6: Final answer
    x = 155,423.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.